Year 8 Index Laws Worksheet — Level 1 (Set 2) — Answers
Answer sheet with worked solutions for the Year 8 indices & scientific notation worksheet.
Year 8 Index Laws Worksheet — Level 1 (Set 2) — Answers
Use the index laws. Write answers with positive indices.
1.Simplify: x4 × x5
Answer: x9
Add the indices: 4 + 5 = 9
2.Simplify: x12 ÷ x6
Answer: x6
Subtract the indices: 12 − 6 = 6
3.Simplify: x9 ÷ x7
Answer: x2
Subtract the indices: 9 − 7 = 2
4.Simplify: x12 ÷ x9
Answer: x3
Subtract the indices: 12 − 9 = 3
5.Simplify: x2 × x7
Answer: x9
Add the indices: 2 + 7 = 9
6.Simplify: x3 × x5
Answer: x8
Add the indices: 3 + 5 = 8
7.Simplify: x7 × x4
Answer: x11
Add the indices: 7 + 4 = 11
8.Simplify: x3 × x2
Answer: x5
Add the indices: 3 + 2 = 5
9.Simplify: x8 × x6
Answer: x14
Add the indices: 8 + 6 = 14
10.Simplify: x5 × x7
Answer: x12
Add the indices: 5 + 7 = 12
11.Simplify: x7 × x9
Answer: x16
Add the indices: 7 + 9 = 16
12.Simplify: x10 ÷ x2
Answer: x8
Subtract the indices: 10 − 2 = 8
13.Simplify: x6 × x2
Answer: x8
Add the indices: 6 + 2 = 8
14.Simplify: x9 ÷ x5
Answer: x4
Subtract the indices: 9 − 5 = 4
Marking tips
- Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
- For open-ended tasks, use the success criteria as a checklist rather than looking for one "right" answer.
- Celebrate what went well first, then pick one thing to work on next.
Great work. Here's what to try next: